In thinking about it, I’m a bit odd in that I’m not big on generic systems… I dislike GURPS, I’ve never gotten into Savage Worlds, and the only Cortex game I’ve played has been Marvel Heroic.
But I do like games that use the same system for different genres. I’ve enjoyed Blades in the Dark, Scum & Villainy, Band of Blades, Galaxies in Peril, The 13th Fleet, and False Kingdom which presents a pretty wide range of genres/settings but which all use the Forged in the Dark system.
The same goes for the Resistance System that powers Spire and Heart. These games are admittedly pretty similar… they even take place in the same setting world… but they focus on different things. And I’ve enjoyed a number of Powered by the Apocalypse games of all sorts.
I wonder how much distinction people see between the two classifications.